What is the 6210th prime number?
The 6210th prime number is 61717. The next prime is 61723 (a gap of 6) and the one before is 61703.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 6210th one is 61717.
- 2
61717 is prime because no prime up to ā61717 ā 248.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6210th prime is close to 6210 Ć ln(6210) ā 54238, and here it is 61717.
- 4
61717 has no twin: neither 61715 nor 61719 is prime.
Primes around the 6210th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6207 | 61681 | 8 |
| 6208 | 61687 | 6 |
| 6209 | 61703 | 16 |
| 6210 | 61717 | 14 |
| 6211 | 61723 | 6 |
| 6212 | 61729 | 6 |
| 6213 | 61751 | 22 |
Questions
What is the 6210th prime number?
61717.
Which prime number is 61717?
61717 is the 6210th prime number.
What is the sum of the first 6210 primes?
181,162,861.